**Q1. AB is a diameter of a circle. C is a point on the tangent drawn at A . If AB = 8 cm and AC = 6 cm, then the length of BC is**

(a) 10 cm

(b) 14 cm

(c) 5 cm

(d) 7 cm

**Q2. If the sum of the digits of any integer between 100 and 1000 is subtracted from the same integer, the resulting number is always divisible by**

(a) 2

(b) 5

(c) 6

(d) 9

**Q3. A canteen requires 56 kgs of rice for seven days. The quantity of rice required for the months of April and May together is**

(a) 468 kg

(b) 488 kg

(c) 498 kg

(d) 508 kg

**Q4. A car travels 80 km in 2 hours and a train travels 180 km in 3 hours . The ratio of speed of the car to the train is:**

(a) 2 : 3

(b) 3 : 2

(c) 3 : 4

(d) 4 : 3

**Q5. In a triangle XYZ, which of the following conditions is true**

(a) XY – YZ > ZX

(b) XY + YZ < ZX

(c) XY – YZ < XZ

(d) XY + ZX < YZ

**Q6. A can do a piece of work in 9 days while B can do it in 12 days. A and B together can do the work in**

**Q7. A retailer gets a discount of 40% on the printed price of an article. The retailer sells it at the printed price. His gain percent is**

**Q8. A mixture contains spirit and water in the ratio of 3 : 2. If it contains 3 litres more spirit than water, the quantity of spirit in the mixture is**

(a) 12 litres

(b) 10 litres

(c) 9 litres

(d) 8 litres

**Q9. If the cost price of 25 pens is equal to the selling price of 20 pens, then the profit percent is**

(a) 20%

(b) 25%

(c) 15%

(d) 5%

**Q10. The sum of money that will yield Rs.60 as simple interest at 6% per annum in 5 years is**

(a) Rs.200

(b) Rs.225

(c) Rs.175

(d) Rs.300

**Solutions:**

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